Finding the Third Proportional to 129,061 and 193,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,061 : 193,645.50 = 193,645.50 : x
2. Step 2: Convert to fraction form
   129,061/193,645.50 = 193,645.50/x
3. Step 3: Cross multiply
   129,061x = 193,645.50 × 193,645.50
4. Step 4: Simplify right side
   129,061x = 37,498,579,670.25
5. Step 5: Solve for x
   x = 37,498,579,670.25/129,061
6. Step 6: Final answer
   x = 290,549.27