Finding the Third Proportional to 78,342 and 170,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,342 : 170,869.50 = 170,869.50 : x
2. Step 2: Convert to fraction form
   78,342/170,869.50 = 170,869.50/x
3. Step 3: Cross multiply
   78,342x = 170,869.50 × 170,869.50
4. Step 4: Simplify right side
   78,342x = 29,196,386,030.25
5. Step 5: Solve for x
   x = 29,196,386,030.25/78,342
6. Step 6: Final answer
   x = 372,678.59