Finding the Third Proportional to 77,136 and 115,702.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,136 : 115,702.50 = 115,702.50 : x
2. Step 2: Convert to fraction form
   77,136/115,702.50 = 115,702.50/x
3. Step 3: Cross multiply
   77,136x = 115,702.50 × 115,702.50
4. Step 4: Simplify right side
   77,136x = 13,387,068,506.25
5. Step 5: Solve for x
   x = 13,387,068,506.25/77,136
6. Step 6: Final answer
   x = 173,551.50