Finding the Third Proportional to 123,152 and 265,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,152 : 265,302.50 = 265,302.50 : x
2. Step 2: Convert to fraction form
   123,152/265,302.50 = 265,302.50/x
3. Step 3: Cross multiply
   123,152x = 265,302.50 × 265,302.50
4. Step 4: Simplify right side
   123,152x = 70,385,416,506.25
5. Step 5: Solve for x
   x = 70,385,416,506.25/123,152
6. Step 6: Final answer
   x = 571,532.87