Finding the Third Proportional to 78,102 and 161,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,102 : 161,743.50 = 161,743.50 : x
2. Step 2: Convert to fraction form
   78,102/161,743.50 = 161,743.50/x
3. Step 3: Cross multiply
   78,102x = 161,743.50 × 161,743.50
4. Step 4: Simplify right side
   78,102x = 26,160,959,792.25
5. Step 5: Solve for x
   x = 26,160,959,792.25/78,102
6. Step 6: Final answer
   x = 334,958.90