Finding the Third Proportional to 119,657.50 and 261,047

Step by Step Solution

1. Step 1: Write the proportion equation
   119,657.50 : 261,047 = 261,047 : x
2. Step 2: Convert to fraction form
   119,657.50/261,047 = 261,047/x
3. Step 3: Cross multiply
   119,657.50x = 261,047 × 261,047
4. Step 4: Simplify right side
   119,657.50x = 68,145,536,209
5. Step 5: Solve for x
   x = 68,145,536,209/119,657.50
6. Step 6: Final answer
   x = 569,504.93