Finding the Third Proportional to 212,472 and 311,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,472 : 311,053.50 = 311,053.50 : x
2. Step 2: Convert to fraction form
   212,472/311,053.50 = 311,053.50/x
3. Step 3: Cross multiply
   212,472x = 311,053.50 × 311,053.50
4. Step 4: Simplify right side
   212,472x = 96,754,279,862.25
5. Step 5: Solve for x
   x = 96,754,279,862.25/212,472
6. Step 6: Final answer
   x = 455,374.26