Finding the Third Proportional to 461,824.50 and 692,046

Step by Step Solution

1. Step 1: Write the proportion equation
   461,824.50 : 692,046 = 692,046 : x
2. Step 2: Convert to fraction form
   461,824.50/692,046 = 692,046/x
3. Step 3: Cross multiply
   461,824.50x = 692,046 × 692,046
4. Step 4: Simplify right side
   461,824.50x = 478,927,666,116
5. Step 5: Solve for x
   x = 478,927,666,116/461,824.50
6. Step 6: Final answer
   x = 1,037,033.91