Finding the Third Proportional to 117,564,169.50 and 185,362,776

Step by Step Solution

1. Step 1: Write the proportion equation
   117,564,169.50 : 185,362,776 = 185,362,776 : x
2. Step 2: Convert to fraction form
   117,564,169.50/185,362,776 = 185,362,776/x
3. Step 3: Cross multiply
   117,564,169.50x = 185,362,776 × 185,362,776
4. Step 4: Simplify right side
   117,564,169.50x = 34,359,358,726,426,176
5. Step 5: Solve for x
   x = 34,359,358,726,426,176/117,564,169.50
6. Step 6: Final answer
   x = 292,260,463.99