Finding the Third Proportional to 98,426 and 152,696

Step by Step Solution

1. Step 1: Write the proportion equation
   98,426 : 152,696 = 152,696 : x
2. Step 2: Convert to fraction form
   98,426/152,696 = 152,696/x
3. Step 3: Cross multiply
   98,426x = 152,696 × 152,696
4. Step 4: Simplify right side
   98,426x = 23,316,068,416
5. Step 5: Solve for x
   x = 23,316,068,416/98,426
6. Step 6: Final answer
   x = 236,889.32