Finding the Third Proportional to 78,397 and 121,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,397 : 121,429.50 = 121,429.50 : x
2. Step 2: Convert to fraction form
   78,397/121,429.50 = 121,429.50/x
3. Step 3: Cross multiply
   78,397x = 121,429.50 × 121,429.50
4. Step 4: Simplify right side
   78,397x = 14,745,123,470.25
5. Step 5: Solve for x
   x = 14,745,123,470.25/78,397
6. Step 6: Final answer
   x = 188,082.75