Finding the Third Proportional to 194,166 and 260,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,166 : 260,752.50 = 260,752.50 : x
2. Step 2: Convert to fraction form
   194,166/260,752.50 = 260,752.50/x
3. Step 3: Cross multiply
   194,166x = 260,752.50 × 260,752.50
4. Step 4: Simplify right side
   194,166x = 67,991,866,256.25
5. Step 5: Solve for x
   x = 67,991,866,256.25/194,166
6. Step 6: Final answer
   x = 350,173.90