Finding the Third Proportional to 182,196 and 260,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,196 : 260,077.50 = 260,077.50 : x
2. Step 2: Convert to fraction form
   182,196/260,077.50 = 260,077.50/x
3. Step 3: Cross multiply
   182,196x = 260,077.50 × 260,077.50
4. Step 4: Simplify right side
   182,196x = 67,640,306,006.25
5. Step 5: Solve for x
   x = 67,640,306,006.25/182,196
6. Step 6: Final answer
   x = 371,250.23