Finding the Third Proportional to 75,114 and 116,980.88

Step by Step Solution

1. Step 1: Write the proportion equation
   75,114 : 116,980.88 = 116,980.88 : x
2. Step 2: Convert to fraction form
   75,114/116,980.88 = 116,980.88/x
3. Step 3: Cross multiply
   75,114x = 116,980.88 × 116,980.88
4. Step 4: Simplify right side
   75,114x = 13,684,525,115.77
5. Step 5: Solve for x
   x = 13,684,525,115.77/75,114
6. Step 6: Final answer
   x = 182,183.42