Finding the Third Proportional to 175,629 and 377,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,629 : 377,884.50 = 377,884.50 : x
2. Step 2: Convert to fraction form
   175,629/377,884.50 = 377,884.50/x
3. Step 3: Cross multiply
   175,629x = 377,884.50 × 377,884.50
4. Step 4: Simplify right side
   175,629x = 142,796,695,340.25
5. Step 5: Solve for x
   x = 142,796,695,340.25/175,629
6. Step 6: Final answer
   x = 813,058.75