Finding the Third Proportional to 152,091 and 229,365

Step by Step Solution

1. Step 1: Write the proportion equation
   152,091 : 229,365 = 229,365 : x
2. Step 2: Convert to fraction form
   152,091/229,365 = 229,365/x
3. Step 3: Cross multiply
   152,091x = 229,365 × 229,365
4. Step 4: Simplify right side
   152,091x = 52,608,303,225
5. Step 5: Solve for x
   x = 52,608,303,225/152,091
6. Step 6: Final answer
   x = 345,900.17