Finding the Third Proportional to 194,172 and 260,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,172 : 260,761.50 = 260,761.50 : x
2. Step 2: Convert to fraction form
   194,172/260,761.50 = 260,761.50/x
3. Step 3: Cross multiply
   194,172x = 260,761.50 × 260,761.50
4. Step 4: Simplify right side
   194,172x = 67,996,559,882.25
5. Step 5: Solve for x
   x = 67,996,559,882.25/194,172
6. Step 6: Final answer
   x = 350,187.26