Finding the Third Proportional to 129,807 and 194,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,807 : 194,710.50 = 194,710.50 : x
2. Step 2: Convert to fraction form
   129,807/194,710.50 = 194,710.50/x
3. Step 3: Cross multiply
   129,807x = 194,710.50 × 194,710.50
4. Step 4: Simplify right side
   129,807x = 37,912,178,810.25
5. Step 5: Solve for x
   x = 37,912,178,810.25/129,807
6. Step 6: Final answer
   x = 292,065.75