Finding the Third Proportional to 77,034 and 116,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,034 : 116,098.50 = 116,098.50 : x
2. Step 2: Convert to fraction form
   77,034/116,098.50 = 116,098.50/x
3. Step 3: Cross multiply
   77,034x = 116,098.50 × 116,098.50
4. Step 4: Simplify right side
   77,034x = 13,478,861,702.25
5. Step 5: Solve for x
   x = 13,478,861,702.25/77,034
6. Step 6: Final answer
   x = 174,972.89