Finding the Third Proportional to 129,886.50 and 194,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,886.50 : 194,308.50 = 194,308.50 : x
2. Step 2: Convert to fraction form
   129,886.50/194,308.50 = 194,308.50/x
3. Step 3: Cross multiply
   129,886.50x = 194,308.50 × 194,308.50
4. Step 4: Simplify right side
   129,886.50x = 37,755,793,172.25
5. Step 5: Solve for x
   x = 37,755,793,172.25/129,886.50
6. Step 6: Final answer
   x = 290,682.97