Finding the Third Proportional to 501,085.50 and 680,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501,085.50 : 680,784.50 = 680,784.50 : x
2. Step 2: Convert to fraction form
   501,085.50/680,784.50 = 680,784.50/x
3. Step 3: Cross multiply
   501,085.50x = 680,784.50 × 680,784.50
4. Step 4: Simplify right side
   501,085.50x = 463,467,535,440.25
5. Step 5: Solve for x
   x = 463,467,535,440.25/501,085.50
6. Step 6: Final answer
   x = 924,927.05