Finding the Third Proportional to 189,916.50 and 415,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   189,916.50 : 415,123.50 = 415,123.50 : x
2. Step 2: Convert to fraction form
   189,916.50/415,123.50 = 415,123.50/x
3. Step 3: Cross multiply
   189,916.50x = 415,123.50 × 415,123.50
4. Step 4: Simplify right side
   189,916.50x = 172,327,520,252.25
5. Step 5: Solve for x
   x = 172,327,520,252.25/189,916.50
6. Step 6: Final answer
   x = 907,385.72