Finding the Third Proportional to 180,876 and 265,900.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,876 : 265,900.50 = 265,900.50 : x
2. Step 2: Convert to fraction form
   180,876/265,900.50 = 265,900.50/x
3. Step 3: Cross multiply
   180,876x = 265,900.50 × 265,900.50
4. Step 4: Simplify right side
   180,876x = 70,703,075,900.25
5. Step 5: Solve for x
   x = 70,703,075,900.25/180,876
6. Step 6: Final answer
   x = 390,892.52