Finding the Third Proportional to 131,883 and 194,926.50

Step by Step Solution

1. Step 1: Write the proportion equation
   131,883 : 194,926.50 = 194,926.50 : x
2. Step 2: Convert to fraction form
   131,883/194,926.50 = 194,926.50/x
3. Step 3: Cross multiply
   131,883x = 194,926.50 × 194,926.50
4. Step 4: Simplify right side
   131,883x = 37,996,340,402.25
5. Step 5: Solve for x
   x = 37,996,340,402.25/131,883
6. Step 6: Final answer
   x = 288,106.43