Finding the Third Proportional to 130,194 and 196,687.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,194 : 196,687.50 = 196,687.50 : x
2. Step 2: Convert to fraction form
   130,194/196,687.50 = 196,687.50/x
3. Step 3: Cross multiply
   130,194x = 196,687.50 × 196,687.50
4. Step 4: Simplify right side
   130,194x = 38,685,972,656.25
5. Step 5: Solve for x
   x = 38,685,972,656.25/130,194
6. Step 6: Final answer
   x = 297,140.98