Finding the Third Proportional to 78,192 and 168,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,192 : 168,781.50 = 168,781.50 : x
2. Step 2: Convert to fraction form
   78,192/168,781.50 = 168,781.50/x
3. Step 3: Cross multiply
   78,192x = 168,781.50 × 168,781.50
4. Step 4: Simplify right side
   78,192x = 28,487,194,742.25
5. Step 5: Solve for x
   x = 28,487,194,742.25/78,192
6. Step 6: Final answer
   x = 364,323.65