Finding the Third Proportional to 503,827.50 and 780,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   503,827.50 : 780,082.50 = 780,082.50 : x
2. Step 2: Convert to fraction form
   503,827.50/780,082.50 = 780,082.50/x
3. Step 3: Cross multiply
   503,827.50x = 780,082.50 × 780,082.50
4. Step 4: Simplify right side
   503,827.50x = 608,528,706,806.25
5. Step 5: Solve for x
   x = 608,528,706,806.25/503,827.50
6. Step 6: Final answer
   x = 1,207,811.62