Finding the Third Proportional to 77,715.75 and 139,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,715.75 : 139,438.50 = 139,438.50 : x
2. Step 2: Convert to fraction form
   77,715.75/139,438.50 = 139,438.50/x
3. Step 3: Cross multiply
   77,715.75x = 139,438.50 × 139,438.50
4. Step 4: Simplify right side
   77,715.75x = 19,443,095,282.25
5. Step 5: Solve for x
   x = 19,443,095,282.25/77,715.75
6. Step 6: Final answer
   x = 250,182.17