Finding the Third Proportional to 152,003 and 235,385

Step by Step Solution

1. Step 1: Write the proportion equation
   152,003 : 235,385 = 235,385 : x
2. Step 2: Convert to fraction form
   152,003/235,385 = 235,385/x
3. Step 3: Cross multiply
   152,003x = 235,385 × 235,385
4. Step 4: Simplify right side
   152,003x = 55,406,098,225
5. Step 5: Solve for x
   x = 55,406,098,225/152,003
6. Step 6: Final answer
   x = 364,506.61