Finding the Third Proportional to 77,650 and 116,354

Step by Step Solution

1. Step 1: Write the proportion equation
   77,650 : 116,354 = 116,354 : x
2. Step 2: Convert to fraction form
   77,650/116,354 = 116,354/x
3. Step 3: Cross multiply
   77,650x = 116,354 × 116,354
4. Step 4: Simplify right side
   77,650x = 13,538,253,316
5. Step 5: Solve for x
   x = 13,538,253,316/77,650
6. Step 6: Final answer
   x = 174,349.69