Finding the Third Proportional to 175,536 and 390,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,536 : 390,496.50 = 390,496.50 : x
2. Step 2: Convert to fraction form
   175,536/390,496.50 = 390,496.50/x
3. Step 3: Cross multiply
   175,536x = 390,496.50 × 390,496.50
4. Step 4: Simplify right side
   175,536x = 152,487,516,512.25
5. Step 5: Solve for x
   x = 152,487,516,512.25/175,536
6. Step 6: Final answer
   x = 868,696.54