Finding the Third Proportional to 77,083.50 and 156,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,083.50 : 156,293.50 = 156,293.50 : x
2. Step 2: Convert to fraction form
   77,083.50/156,293.50 = 156,293.50/x
3. Step 3: Cross multiply
   77,083.50x = 156,293.50 × 156,293.50
4. Step 4: Simplify right side
   77,083.50x = 24,427,658,142.25
5. Step 5: Solve for x
   x = 24,427,658,142.25/77,083.50
6. Step 6: Final answer
   x = 316,898.66