Finding the Third Proportional to 430,632 and 616,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   430,632 : 616,423.50 = 616,423.50 : x
2. Step 2: Convert to fraction form
   430,632/616,423.50 = 616,423.50/x
3. Step 3: Cross multiply
   430,632x = 616,423.50 × 616,423.50
4. Step 4: Simplify right side
   430,632x = 379,977,931,352.25
5. Step 5: Solve for x
   x = 379,977,931,352.25/430,632
6. Step 6: Final answer
   x = 882,372.73