Finding the Third Proportional to 45,213 and 109,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,213 : 109,384.50 = 109,384.50 : x
2. Step 2: Convert to fraction form
   45,213/109,384.50 = 109,384.50/x
3. Step 3: Cross multiply
   45,213x = 109,384.50 × 109,384.50
4. Step 4: Simplify right side
   45,213x = 11,964,968,840.25
5. Step 5: Solve for x
   x = 11,964,968,840.25/45,213
6. Step 6: Final answer
   x = 264,635.59