Finding the Third Proportional to 194,545.50 and 357,123

Step by Step Solution

1. Step 1: Write the proportion equation
   194,545.50 : 357,123 = 357,123 : x
2. Step 2: Convert to fraction form
   194,545.50/357,123 = 357,123/x
3. Step 3: Cross multiply
   194,545.50x = 357,123 × 357,123
4. Step 4: Simplify right side
   194,545.50x = 127,536,837,129
5. Step 5: Solve for x
   x = 127,536,837,129/194,545.50
6. Step 6: Final answer
   x = 655,563.03