Finding the Third Proportional to 125,523 and 175,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,523 : 175,567.50 = 175,567.50 : x
2. Step 2: Convert to fraction form
   125,523/175,567.50 = 175,567.50/x
3. Step 3: Cross multiply
   125,523x = 175,567.50 × 175,567.50
4. Step 4: Simplify right side
   125,523x = 30,823,947,056.25
5. Step 5: Solve for x
   x = 30,823,947,056.25/125,523
6. Step 6: Final answer
   x = 245,564.14