Finding the Third Proportional to 75,870 and 164,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,870 : 164,042.50 = 164,042.50 : x
2. Step 2: Convert to fraction form
   75,870/164,042.50 = 164,042.50/x
3. Step 3: Cross multiply
   75,870x = 164,042.50 × 164,042.50
4. Step 4: Simplify right side
   75,870x = 26,909,941,806.25
5. Step 5: Solve for x
   x = 26,909,941,806.25/75,870
6. Step 6: Final answer
   x = 354,684.88