Finding the Third Proportional to 58,946 and 120,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,946 : 120,615.50 = 120,615.50 : x
2. Step 2: Convert to fraction form
   58,946/120,615.50 = 120,615.50/x
3. Step 3: Cross multiply
   58,946x = 120,615.50 × 120,615.50
4. Step 4: Simplify right side
   58,946x = 14,548,098,840.25
5. Step 5: Solve for x
   x = 14,548,098,840.25/58,946
6. Step 6: Final answer
   x = 246,803.83