Finding the Third Proportional to 70,265 and 152,194

Step by Step Solution

1. Step 1: Write the proportion equation
   70,265 : 152,194 = 152,194 : x
2. Step 2: Convert to fraction form
   70,265/152,194 = 152,194/x
3. Step 3: Cross multiply
   70,265x = 152,194 × 152,194
4. Step 4: Simplify right side
   70,265x = 23,163,013,636
5. Step 5: Solve for x
   x = 23,163,013,636/70,265
6. Step 6: Final answer
   x = 329,652.23