Finding the Third Proportional to 506,459 and 772,551.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506,459 : 772,551.50 = 772,551.50 : x
2. Step 2: Convert to fraction form
   506,459/772,551.50 = 772,551.50/x
3. Step 3: Cross multiply
   506,459x = 772,551.50 × 772,551.50
4. Step 4: Simplify right side
   506,459x = 596,835,820,152.25
5. Step 5: Solve for x
   x = 596,835,820,152.25/506,459
6. Step 6: Final answer
   x = 1,178,448.44