Finding the Third Proportional to 77,114 and 115,030

Step by Step Solution

1. Step 1: Write the proportion equation
   77,114 : 115,030 = 115,030 : x
2. Step 2: Convert to fraction form
   77,114/115,030 = 115,030/x
3. Step 3: Cross multiply
   77,114x = 115,030 × 115,030
4. Step 4: Simplify right side
   77,114x = 13,231,900,900
5. Step 5: Solve for x
   x = 13,231,900,900/77,114
6. Step 6: Final answer
   x = 171,588.83