Finding the Third Proportional to 78,532 and 174,486

Step by Step Solution

1. Step 1: Write the proportion equation
   78,532 : 174,486 = 174,486 : x
2. Step 2: Convert to fraction form
   78,532/174,486 = 174,486/x
3. Step 3: Cross multiply
   78,532x = 174,486 × 174,486
4. Step 4: Simplify right side
   78,532x = 30,445,364,196
5. Step 5: Solve for x
   x = 30,445,364,196/78,532
6. Step 6: Final answer
   x = 387,681.00