Finding the Third Proportional to 396,432 and 565,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   396,432 : 565,123.50 = 565,123.50 : x
2. Step 2: Convert to fraction form
   396,432/565,123.50 = 565,123.50/x
3. Step 3: Cross multiply
   396,432x = 565,123.50 × 565,123.50
4. Step 4: Simplify right side
   396,432x = 319,364,570,252.25
5. Step 5: Solve for x
   x = 319,364,570,252.25/396,432
6. Step 6: Final answer
   x = 805,597.35