Finding the Third Proportional to 277,803 and 420,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   277,803 : 420,577.50 = 420,577.50 : x
2. Step 2: Convert to fraction form
   277,803/420,577.50 = 420,577.50/x
3. Step 3: Cross multiply
   277,803x = 420,577.50 × 420,577.50
4. Step 4: Simplify right side
   277,803x = 176,885,433,506.25
5. Step 5: Solve for x
   x = 176,885,433,506.25/277,803
6. Step 6: Final answer
   x = 636,729.75