Finding the Third Proportional to 152,169 and 234,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,169 : 234,189.50 = 234,189.50 : x
2. Step 2: Convert to fraction form
   152,169/234,189.50 = 234,189.50/x
3. Step 3: Cross multiply
   152,169x = 234,189.50 × 234,189.50
4. Step 4: Simplify right side
   152,169x = 54,844,721,910.25
5. Step 5: Solve for x
   x = 54,844,721,910.25/152,169
6. Step 6: Final answer
   x = 360,419.81