Finding the Third Proportional to 77,665.50 and 139,954.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,665.50 : 139,954.50 = 139,954.50 : x
2. Step 2: Convert to fraction form
   77,665.50/139,954.50 = 139,954.50/x
3. Step 3: Cross multiply
   77,665.50x = 139,954.50 × 139,954.50
4. Step 4: Simplify right side
   77,665.50x = 19,587,262,070.25
5. Step 5: Solve for x
   x = 19,587,262,070.25/77,665.50
6. Step 6: Final answer
   x = 252,200.30