Finding the Third Proportional to 456,624 and 727,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   456,624 : 727,222.50 = 727,222.50 : x
2. Step 2: Convert to fraction form
   456,624/727,222.50 = 727,222.50/x
3. Step 3: Cross multiply
   456,624x = 727,222.50 × 727,222.50
4. Step 4: Simplify right side
   456,624x = 528,852,564,506.25
5. Step 5: Solve for x
   x = 528,852,564,506.25/456,624
6. Step 6: Final answer
   x = 1,158,179.52