Finding the Third Proportional to 89,538,142.50 and 194,840,370

Step by Step Solution

1. Step 1: Write the proportion equation
   89,538,142.50 : 194,840,370 = 194,840,370 : x
2. Step 2: Convert to fraction form
   89,538,142.50/194,840,370 = 194,840,370/x
3. Step 3: Cross multiply
   89,538,142.50x = 194,840,370 × 194,840,370
4. Step 4: Simplify right side
   89,538,142.50x = 37,962,769,781,736,896
5. Step 5: Solve for x
   x = 37,962,769,781,736,896/89,538,142.50
6. Step 6: Final answer
   x = 423,984,334.74