Finding the Third Proportional to 196,516 and 421,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196,516 : 421,071.50 = 421,071.50 : x
2. Step 2: Convert to fraction form
   196,516/421,071.50 = 421,071.50/x
3. Step 3: Cross multiply
   196,516x = 421,071.50 × 421,071.50
4. Step 4: Simplify right side
   196,516x = 177,301,208,112.25
5. Step 5: Solve for x
   x = 177,301,208,112.25/196,516
6. Step 6: Final answer
   x = 902,222.76