Finding the Third Proportional to 101,197 and 217,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,197 : 217,967.50 = 217,967.50 : x
2. Step 2: Convert to fraction form
   101,197/217,967.50 = 217,967.50/x
3. Step 3: Cross multiply
   101,197x = 217,967.50 × 217,967.50
4. Step 4: Simplify right side
   101,197x = 47,509,831,056.25
5. Step 5: Solve for x
   x = 47,509,831,056.25/101,197
6. Step 6: Final answer
   x = 469,478.65