Finding the Third Proportional to 127,047.50 and 194,534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,047.50 : 194,534.50 = 194,534.50 : x
2. Step 2: Convert to fraction form
   127,047.50/194,534.50 = 194,534.50/x
3. Step 3: Cross multiply
   127,047.50x = 194,534.50 × 194,534.50
4. Step 4: Simplify right side
   127,047.50x = 37,843,671,690.25
5. Step 5: Solve for x
   x = 37,843,671,690.25/127,047.50
6. Step 6: Final answer
   x = 297,870.26