Finding the Third Proportional to 220,641 and 340,946.63

Step by Step Solution

1. Step 1: Write the proportion equation
   220,641 : 340,946.63 = 340,946.63 : x
2. Step 2: Convert to fraction form
   220,641/340,946.63 = 340,946.63/x
3. Step 3: Cross multiply
   220,641x = 340,946.63 × 340,946.63
4. Step 4: Simplify right side
   220,641x = 116,244,601,098.89
5. Step 5: Solve for x
   x = 116,244,601,098.89/220,641
6. Step 6: Final answer
   x = 526,849.50