Finding the Third Proportional to 99,214 and 152,358

Step by Step Solution

1. Step 1: Write the proportion equation
   99,214 : 152,358 = 152,358 : x
2. Step 2: Convert to fraction form
   99,214/152,358 = 152,358/x
3. Step 3: Cross multiply
   99,214x = 152,358 × 152,358
4. Step 4: Simplify right side
   99,214x = 23,212,960,164
5. Step 5: Solve for x
   x = 23,212,960,164/99,214
6. Step 6: Final answer
   x = 233,968.59