Finding the Third Proportional to 92,213 and 146,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,213 : 146,383.50 = 146,383.50 : x
2. Step 2: Convert to fraction form
   92,213/146,383.50 = 146,383.50/x
3. Step 3: Cross multiply
   92,213x = 146,383.50 × 146,383.50
4. Step 4: Simplify right side
   92,213x = 21,428,129,072.25
5. Step 5: Solve for x
   x = 21,428,129,072.25/92,213
6. Step 6: Final answer
   x = 232,376.44