Finding the Third Proportional to 77,439 and 113,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,439 : 113,890.50 = 113,890.50 : x
2. Step 2: Convert to fraction form
   77,439/113,890.50 = 113,890.50/x
3. Step 3: Cross multiply
   77,439x = 113,890.50 × 113,890.50
4. Step 4: Simplify right side
   77,439x = 12,971,045,990.25
5. Step 5: Solve for x
   x = 12,971,045,990.25/77,439
6. Step 6: Final answer
   x = 167,500.17