Finding the Third Proportional to 264,294 and 402,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,294 : 402,637.50 = 402,637.50 : x
2. Step 2: Convert to fraction form
   264,294/402,637.50 = 402,637.50/x
3. Step 3: Cross multiply
   264,294x = 402,637.50 × 402,637.50
4. Step 4: Simplify right side
   264,294x = 162,116,956,406.25
5. Step 5: Solve for x
   x = 162,116,956,406.25/264,294
6. Step 6: Final answer
   x = 613,396.28