Finding the Third Proportional to 78,487 and 167,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,487 : 167,746.50 = 167,746.50 : x
2. Step 2: Convert to fraction form
   78,487/167,746.50 = 167,746.50/x
3. Step 3: Cross multiply
   78,487x = 167,746.50 × 167,746.50
4. Step 4: Simplify right side
   78,487x = 28,138,888,262.25
5. Step 5: Solve for x
   x = 28,138,888,262.25/78,487
6. Step 6: Final answer
   x = 358,516.55