Finding the Third Proportional to 127,156.50 and 196,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,156.50 : 196,714.50 = 196,714.50 : x
2. Step 2: Convert to fraction form
   127,156.50/196,714.50 = 196,714.50/x
3. Step 3: Cross multiply
   127,156.50x = 196,714.50 × 196,714.50
4. Step 4: Simplify right side
   127,156.50x = 38,696,594,510.25
5. Step 5: Solve for x
   x = 38,696,594,510.25/127,156.50
6. Step 6: Final answer
   x = 304,322.58