Finding the Third Proportional to 201,751.50 and 293,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   201,751.50 : 293,123.25 = 293,123.25 : x
2. Step 2: Convert to fraction form
   201,751.50/293,123.25 = 293,123.25/x
3. Step 3: Cross multiply
   201,751.50x = 293,123.25 × 293,123.25
4. Step 4: Simplify right side
   201,751.50x = 85,921,239,690.56
5. Step 5: Solve for x
   x = 85,921,239,690.56/201,751.50
6. Step 6: Final answer
   x = 425,876.58