Finding the Third Proportional to 214,098 and 506,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,098 : 506,326.50 = 506,326.50 : x
2. Step 2: Convert to fraction form
   214,098/506,326.50 = 506,326.50/x
3. Step 3: Cross multiply
   214,098x = 506,326.50 × 506,326.50
4. Step 4: Simplify right side
   214,098x = 256,366,524,602.25
5. Step 5: Solve for x
   x = 256,366,524,602.25/214,098
6. Step 6: Final answer
   x = 1,197,426.06