Finding the Third Proportional to 77,562 and 116,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,562 : 116,989.50 = 116,989.50 : x
2. Step 2: Convert to fraction form
   77,562/116,989.50 = 116,989.50/x
3. Step 3: Cross multiply
   77,562x = 116,989.50 × 116,989.50
4. Step 4: Simplify right side
   77,562x = 13,686,543,110.25
5. Step 5: Solve for x
   x = 13,686,543,110.25/77,562
6. Step 6: Final answer
   x = 176,459.39