Finding the Third Proportional to 76,482 and 164,032.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,482 : 164,032.50 = 164,032.50 : x
2. Step 2: Convert to fraction form
   76,482/164,032.50 = 164,032.50/x
3. Step 3: Cross multiply
   76,482x = 164,032.50 × 164,032.50
4. Step 4: Simplify right side
   76,482x = 26,906,661,056.25
5. Step 5: Solve for x
   x = 26,906,661,056.25/76,482
6. Step 6: Final answer
   x = 351,803.84