Finding the Third Proportional to 152,103 and 201,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,103 : 201,856.50 = 201,856.50 : x
2. Step 2: Convert to fraction form
   152,103/201,856.50 = 201,856.50/x
3. Step 3: Cross multiply
   152,103x = 201,856.50 × 201,856.50
4. Step 4: Simplify right side
   152,103x = 40,746,046,592.25
5. Step 5: Solve for x
   x = 40,746,046,592.25/152,103
6. Step 6: Final answer
   x = 267,884.57