Finding the Third Proportional to 377,757 and 589,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   377,757 : 589,612.50 = 589,612.50 : x
2. Step 2: Convert to fraction form
   377,757/589,612.50 = 589,612.50/x
3. Step 3: Cross multiply
   377,757x = 589,612.50 × 589,612.50
4. Step 4: Simplify right side
   377,757x = 347,642,900,156.25
5. Step 5: Solve for x
   x = 347,642,900,156.25/377,757
6. Step 6: Final answer
   x = 920,281.82