Finding the Third Proportional to 152,643 and 222,034.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,643 : 222,034.50 = 222,034.50 : x
2. Step 2: Convert to fraction form
   152,643/222,034.50 = 222,034.50/x
3. Step 3: Cross multiply
   152,643x = 222,034.50 × 222,034.50
4. Step 4: Simplify right side
   152,643x = 49,299,319,190.25
5. Step 5: Solve for x
   x = 49,299,319,190.25/152,643
6. Step 6: Final answer
   x = 322,971.37