Finding the Third Proportional to 175,671 and 390,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,671 : 390,643.50 = 390,643.50 : x
2. Step 2: Convert to fraction form
   175,671/390,643.50 = 390,643.50/x
3. Step 3: Cross multiply
   175,671x = 390,643.50 × 390,643.50
4. Step 4: Simplify right side
   175,671x = 152,602,344,092.25
5. Step 5: Solve for x
   x = 152,602,344,092.25/175,671
6. Step 6: Final answer
   x = 868,682.62