Finding the Third Proportional to 198,084 and 426,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   198,084 : 426,967.50 = 426,967.50 : x
2. Step 2: Convert to fraction form
   198,084/426,967.50 = 426,967.50/x
3. Step 3: Cross multiply
   198,084x = 426,967.50 × 426,967.50
4. Step 4: Simplify right side
   198,084x = 182,301,246,056.25
5. Step 5: Solve for x
   x = 182,301,246,056.25/198,084
6. Step 6: Final answer
   x = 920,322.92