Finding the Third Proportional to 83,672.50 and 127,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,672.50 : 127,471.50 = 127,471.50 : x
2. Step 2: Convert to fraction form
   83,672.50/127,471.50 = 127,471.50/x
3. Step 3: Cross multiply
   83,672.50x = 127,471.50 × 127,471.50
4. Step 4: Simplify right side
   83,672.50x = 16,248,983,312.25
5. Step 5: Solve for x
   x = 16,248,983,312.25/83,672.50
6. Step 6: Final answer
   x = 194,197.42