Finding the Third Proportional to 98,152 and 152,264

Step by Step Solution

1. Step 1: Write the proportion equation
   98,152 : 152,264 = 152,264 : x
2. Step 2: Convert to fraction form
   98,152/152,264 = 152,264/x
3. Step 3: Cross multiply
   98,152x = 152,264 × 152,264
4. Step 4: Simplify right side
   98,152x = 23,184,325,696
5. Step 5: Solve for x
   x = 23,184,325,696/98,152
6. Step 6: Final answer
   x = 236,208.39