Finding the Third Proportional to 75,082,774.50 and 116,196,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,082,774.50 : 116,196,565.50 = 116,196,565.50 : x
2. Step 2: Convert to fraction form
   75,082,774.50/116,196,565.50 = 116,196,565.50/x
3. Step 3: Cross multiply
   75,082,774.50x = 116,196,565.50 × 116,196,565.50
4. Step 4: Simplify right side
   75,082,774.50x = 13,501,641,833,995,790
5. Step 5: Solve for x
   x = 13,501,641,833,995,790/75,082,774.50
6. Step 6: Final answer
   x = 179,823,427.20