Finding the Third Proportional to 102,800 and 161,299.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,800 : 161,299.50 = 161,299.50 : x
2. Step 2: Convert to fraction form
   102,800/161,299.50 = 161,299.50/x
3. Step 3: Cross multiply
   102,800x = 161,299.50 × 161,299.50
4. Step 4: Simplify right side
   102,800x = 26,017,528,700.25
5. Step 5: Solve for x
   x = 26,017,528,700.25/102,800
6. Step 6: Final answer
   x = 253,088.80