Finding the Third Proportional to 174,582 and 377,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,582 : 377,041.50 = 377,041.50 : x
2. Step 2: Convert to fraction form
   174,582/377,041.50 = 377,041.50/x
3. Step 3: Cross multiply
   174,582x = 377,041.50 × 377,041.50
4. Step 4: Simplify right side
   174,582x = 142,160,292,722.25
5. Step 5: Solve for x
   x = 142,160,292,722.25/174,582
6. Step 6: Final answer
   x = 814,289.52