Finding the Third Proportional to 423,641 and 592,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   423,641 : 592,541.50 = 592,541.50 : x
2. Step 2: Convert to fraction form
   423,641/592,541.50 = 592,541.50/x
3. Step 3: Cross multiply
   423,641x = 592,541.50 × 592,541.50
4. Step 4: Simplify right side
   423,641x = 351,105,429,222.25
5. Step 5: Solve for x
   x = 351,105,429,222.25/423,641
6. Step 6: Final answer
   x = 828,780.57