Finding the Third Proportional to 78,492.50 and 169,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,492.50 : 169,935.50 = 169,935.50 : x
2. Step 2: Convert to fraction form
   78,492.50/169,935.50 = 169,935.50/x
3. Step 3: Cross multiply
   78,492.50x = 169,935.50 × 169,935.50
4. Step 4: Simplify right side
   78,492.50x = 28,878,074,160.25
5. Step 5: Solve for x
   x = 28,878,074,160.25/78,492.50
6. Step 6: Final answer
   x = 367,908.71