Finding the Third Proportional to 189,411.50 and 315,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,411.50 : 315,646.50 = 315,646.50 : x
2. Step 2: Convert to fraction form
   189,411.50/315,646.50 = 315,646.50/x
3. Step 3: Cross multiply
   189,411.50x = 315,646.50 × 315,646.50
4. Step 4: Simplify right side
   189,411.50x = 99,632,712,962.25
5. Step 5: Solve for x
   x = 99,632,712,962.25/189,411.50
6. Step 6: Final answer
   x = 526,011.95