Finding the Third Proportional to 577,908 and 766,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   577,908 : 766,822.50 = 766,822.50 : x
2. Step 2: Convert to fraction form
   577,908/766,822.50 = 766,822.50/x
3. Step 3: Cross multiply
   577,908x = 766,822.50 × 766,822.50
4. Step 4: Simplify right side
   577,908x = 588,016,746,506.25
5. Step 5: Solve for x
   x = 588,016,746,506.25/577,908
6. Step 6: Final answer
   x = 1,017,491.96