Finding the Third Proportional to 129,636 and 194,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,636 : 194,575.50 = 194,575.50 : x
2. Step 2: Convert to fraction form
   129,636/194,575.50 = 194,575.50/x
3. Step 3: Cross multiply
   129,636x = 194,575.50 × 194,575.50
4. Step 4: Simplify right side
   129,636x = 37,859,625,200.25
5. Step 5: Solve for x
   x = 37,859,625,200.25/129,636
6. Step 6: Final answer
   x = 292,045.61