Finding the Third Proportional to 185,941.50 and 406,915.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,941.50 : 406,915.50 = 406,915.50 : x
2. Step 2: Convert to fraction form
   185,941.50/406,915.50 = 406,915.50/x
3. Step 3: Cross multiply
   185,941.50x = 406,915.50 × 406,915.50
4. Step 4: Simplify right side
   185,941.50x = 165,580,224,140.25
5. Step 5: Solve for x
   x = 165,580,224,140.25/185,941.50
6. Step 6: Final answer
   x = 890,496.33