Finding the Third Proportional to 277,582 and 596,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,582 : 596,460.50 = 596,460.50 : x
2. Step 2: Convert to fraction form
   277,582/596,460.50 = 596,460.50/x
3. Step 3: Cross multiply
   277,582x = 596,460.50 × 596,460.50
4. Step 4: Simplify right side
   277,582x = 355,765,128,060.25
5. Step 5: Solve for x
   x = 355,765,128,060.25/277,582
6. Step 6: Final answer
   x = 1,281,657.77